Back to 13.4 Series and Their Notations

Finding the Sum of an Infinite Geometric Series

Avg difficulty 2.5

Find the sum, if it exists, for the following:

  1. ⓐ 10+9+8+7+… 10 + 9 + 8 + 7 + \ldots
  2. ⓑ 248.6+99.44+39.776+… 248.6 + 99.44 + 39.776 + \ldots
  3. ⓒ ∑ k=1 ∞ 4,374⋅ (– 1 3 ) k–1 \sum_{k = 1}^{\infty} 4 , 374 \cdot \left(– \frac{1}{3}\right)^{k – 1}
  4. ⓓ ∑ k=1 ∞ 1 9 ⋅ ( 4 3 ) k \sum_{k = 1}^{\infty} \frac{1}{9} \cdot \left(\frac{4}{3}\right)^{k}

OpenStax Algebra and Trigonometry 2e, 13.4 Series and Their Notations, exercise 25

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.